Pith Number

pith:4F3ASIM6

pith:2025:4F3ASIM6FAQ4OWHNP22Z7FVSBS

not attested not anchored not stored refs pending

Complex exponential integral means spectra of univalent functions and the Brennan conjecture

Jianjun Jin

arxiv:2512.09330 v13 · 2025-12-10 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4F3ASIM6FAQ4OWHNP22Z7FVSBS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

4 papers in Pith

On the norms of the multiplication operators between weighted Bergman spaces

Sharp multiplier estimates for the higher-order Schwarzian derivatives of the Koebe function

On the norms of the multiplication operators between weighted Bergman spaces

Sharp multiplier estimates for the higher-order Schwarzian derivatives of the Koebe function

Receipt and verification

First computed	2026-06-09T01:04:40.360488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17609219e2821c758ed7eb59f96b20ca99691ca7848103ef89b427d8f9d0c39

Aliases

arxiv: 2512.09330 · arxiv_version: 2512.09330v13 · doi: 10.48550/arxiv.2512.09330 · pith_short_12: 4F3ASIM6FAQ4 · pith_short_16: 4F3ASIM6FAQ4OWHN · pith_short_8: 4F3ASIM6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4F3ASIM6FAQ4OWHNP22Z7FVSBS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e17609219e2821c758ed7eb59f96b20ca99691ca7848103ef89b427d8f9d0c39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf75c63c1c875579ce8e6a76c2ead0df8ea7c835a7e9a25cb1fbff045096ce95",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-12-10T05:36:20Z",
    "title_canon_sha256": "0f5ecd63f5b8c12f3184b1caea461097169ec54c98ac77bf9dc6ab4db381b119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.09330",
    "kind": "arxiv",
    "version": 13
  }
}